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Finding the Fourth Proportional to 20,186.64, 27,853.20 and 12,229.20

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Solution

The fourth proportional to 20,186.64, 27,853.20 and 12,229.20 is: 16,873.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,186.64 : 27,853.20 = 12,229.20 : x
  2. Step 2: Convert to fraction form
    20,186.64/27,853.20 = 12,229.20/x
  3. Step 3: Cross multiply
    20,186.64x = 27,853.20 × 12,229.20
  4. Step 4: Simplify right side
    20,186.64x = 340,622,353.44
  5. Step 5: Solve for x
    x = 340,622,353.44/20,186.64
  6. Step 6: Final answer
    x = 16,873.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.